in the game of lucky sevens, the player rolls a pair of dice. if the dots add up to 7, the player wins $4; otherwise, the player loses $1. suppose that, to entice the gullible, a casino tells players that there are many ways to win: (1, 6), (2, 5), and soon. a little mathematical analysis reveals that there are not enough ways to win to make the game worthwhile; however, because many people's eyes glaze over at the first mention of mathematics "wins $4".